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Finding the Third Proportional to 251,267 and 546,821

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Solution

The third proportional to 251,267 and 546,821 is: 1,190,021.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,267 : 546,821 = 546,821 : x
  2. Step 2: Convert to fraction form
    251,267/546,821 = 546,821/x
  3. Step 3: Cross multiply
    251,267x = 546,821 × 546,821
  4. Step 4: Simplify right side
    251,267x = 299,013,206,041
  5. Step 5: Solve for x
    x = 299,013,206,041/251,267
  6. Step 6: Final answer
    x = 1,190,021.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.